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Effective topos

In mathematics, the effective topos E f f {\displaystyle {\mathsf {Eff}}} introduced by Martin Hyland (1982) captures the mathematical idea of effectivity within the category theoretical framework.

Art, Preliminaries & Categorical operations in the effective topos

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Overview

Preliminaries

Definition

Relationship to assemblies

Categorical operations in the effective topos

Properties

Advanced semantic analysis

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Map overview Semantic statistics

Effective topos

Nodes49
Edges48
Triples82
Avg. degree1.96
Density0.040816
Components1

How this topic connects Entity context

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Effective topos

Top relations

related to References · 55
Effective topos → Alexis, Amsterdam, An, Bartels, Bernadet, Brouwer Centenary Symposium, Cite, CiteSeerX, Computer Science, Corfield, Dalen, David, ECS-LFCS-92-208, Edinburgh, Foundations, Graham-Lengrand, Holder, Hyland, ISBN, January
related to Realizability topoi · 7
Effective topos → Eff, Grothendieck, In, Other, RT, These, They
related to Definition · 6
Effective topos → An, Informally, The, There, Vdash, We
related to Relationship to assemblies · 6
Effective topos → An, Every, The, Thus, Vdash, We
related to Categorical operations in the effective topos · 5
Effective topos → Cartesian, It, Omega, The, This
is a · 2
Effective topos → elementary topos with natural numbers object, set X

Important terminology Word statistics

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Important terminology

displaystyle topos effective mathbb object realizer sets program category relation assemblies mathcal function functional exists realizers assembly mathsf numbers realized

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Effective toposis aset X0.90text
Effective toposis aelementary topos with natural numbers object0.90text
N Ninstance ofwhich come down to simple statement about object0.80text
Effective toposrelated to Categorical operations in the effective toposThe0.60section
Effective toposrelated to Categorical operations in the effective toposThis0.60section
Effective toposrelated to Categorical operations in the effective toposCartesian0.60section
Effective toposrelated to Categorical operations in the effective toposOmega0.60section
Effective toposrelated to Categorical operations in the effective toposIt0.60section
Effective toposrelated to DefinitionThere0.60section
Effective toposrelated to DefinitionThe0.60section
Effective toposrelated to DefinitionAn0.60section
Effective toposrelated to DefinitionWe0.60section

Related concept clusters Concept neighborhoods

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    Min side: 3
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